Question

Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.

a. Write degrees Celsius as a linear function of degrees Fahrenheit .





b. What is the slope of your linear equation? What does it mean?





c. What is the y-intercept and what does it mean?

Help and please explain. Will give medal!

Answer 1

B

Answer 2

What?

Answer 3

I need help with the different parts of the question.

Answer 4

a linear function
when you see those words think "line" as in y= mx+b
notice that y depends on x. (to get y's value, you sub in a value for x and do the arithmetic)

so part (a)
Celsius as a linear function of degrees Fahrenheit
means treat Celsius as y ( it depends on Fahrenheit) and Fahrenheit as x

You have two (x,y) points: (32,0) and (212,100)
can you find the equation of a line through two points?
at the end, relabel x as F and y as C

Answer 5

so (b) the slop = 5/9. It means that 1 degree change in Fahrenheit is only 5/9 of a degree change in Celsius. (Fahrenheit degrees are smaller)

Answer 6

just tell me if it is confusing

Answer 7

ok so I got the equation C=9/5+32. Is that right?

Answer 8

y= 5/9 x + b

Answer 9

Are you able to switch around the two points given because I got the slope of 9/5

Answer 10

how did you get that

Answer 11

because I used the slope formula with the ordered pairs of (0,32) and(100,212)

Answer 12

look like your right

Answer 13

So the slope would be in fact 9/5?

Answer 14

yes

Answer 15

Hold on.

Answer 16

what

Answer 17

so what would be the eqation?

Answer 18

x=32 y=0 plug it in

Answer 19

C=9/5+32

Answer 20

dont forget the 0

Answer 21

you dont need the zero because when you put it in the point slope formula it 32 will be added to it

Answer 22

you have to find b

Answer 23

it wold be zero

Answer 24

yes sorry

Answer 25

0=5/9*32+b

Answer 26

there we go

Answer 27

Thanks so much for your help.

Answer 28

your welcome